There were some marbles in Bag P and Bag Q. After Valen transferred
15 of the marbles from Bag P to Bag Q, the ratio of the number of marbles in Bag P to that in Bag Q changed to 2 : 7. Find the ratio of the numbers of marbles in Bag P to the number of marbles in Bag Q at first.
|
Bag P |
Bag Q |
Before |
5x1 = 5 u |
13 u |
Change |
- 1x1 = - 1 u |
+ 1 u |
After |
4x1 = 4 u |
|
Comparing Bag P and Bag Q in the end |
2x2 = 4 u |
7x2 = 14 u |
The number of marbles in Bag P in the end is repeated. Make the number of marbles in Bag P in the end the same. LCM of 4 and 2 is 4.
At first
Bag P : Bag Q
5 : 13
Answer(s): 5 : 13